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Proof step 28 from proof in-payload (previous step)

zbrar[m + n1 + 1] = mkzentry(key, adr0), zbrar[m] = mkzentry(key0, adr), n1 < nused0, m < # zbrar, m + nused0 < # zbrar ⊦ key = key0, ∃ n0. n0 < nused0 ∧ zbrar[(m + 1) + n0].entry? ∧ zbrar[(m + 1) + n0].key = key

User applied rule exists right

And closed the goal!

Rule argument

pos: right 2 terms: n1 abort: F discard: F computed: F

Additional information

Used simplifier rules: a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic% ⊦ mkzentry(key, adr).entry?; (s)% ⊦ mkzentry(key, adr).key = key; (s) Used terms: n1